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3 years ago

What is the solution to the equation?

Mathematics

2 answers:

BlackZzzverrR [31]3 years ago

5 0

Answer:

x=6\frac{1}{2}

hope this helps

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AleksandrR [38]3 years ago

4 0

Solution of the equation: $x=6\frac{1}{2}$

Step-by-step explanation:

The equation that we have to solve in this problem is:

$13\frac{3}{4}+x=7\frac{1}{4}$

The first step to do is to rewrite the mixed fractions as improper fractions. We have:

$13\frac{3}{4}=\frac{13\cdot 4+3}{4}=\frac{52+3}{4}=\frac{55}{4}$

And

$7\frac{1}{4}=\frac{7\cdot 4+1}{4}=\frac{29}{4}$

So the equation becomes

$\frac{29}{4}+x=\frac{55}{4}$

Now we multiply by 4 each term on both sides, and we get

$29+4x=55$

Now we subtract 29 from both sides,

$4x=55-29=26$

And finally, we divide both sides by 4:

$x=\frac{26}{4}=\frac{13}{2}=6\frac{1}{2}$

Learn more about equations:

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